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Page 1999 of 2109
How to represent the legend in a plot created by using plot function with colored straight lines or stars in R?
A legend helps us to differentiate between the type of values or any another division of values in a data set. These legends can be represented in many ways and two of these ways are straight lines and stars. To represent the legend in a plot created by using plot function with colored straight lines or stars, we need to correct lty and pch arguments.ExampleConsider the below vectors −set.seed(199) x
Read MoreHow to create a frequency polygon in R?
Frequency polygons are the graphs of the values to understand the shape of the distribution of the values. They are useful in comparing different data sets and visualising cumulative frequency distribution of the data sets. In base R, we can use polygon function to create the frequency polygon but first we should create a line plot for the two variables under consideration.ExampleConsider the below vectors x and y −set.seed(999) x
Read MoreHow to reduce the size of the area covered by legend in R for a plot created by using plot function?
By default, the area covered by legends for a plot created by using plot function is of full size that is 1 (the area size has a range of 0 to 1, where 1 refers to the full size and 0 refers to none). To reduce the size, we can use cex argument with the legend function as shown in the below example.ExampleConsider the below vectors and the plot created between these two vectors −x
Read MoreHow to create a standard normal distribution curve with 3-sigma limits in R?
A standard normal distribution has mean equals to zero and the standard deviation equals to one. Therefore, when we plot it with three sigma limits, we have six points on the X-axis referring to the plus and minus around zero. If the limits are defined then the plotting can be shown with larger width and that will change the display of the curve. We can do this by creating a sequence for the length of the standard normal variable and its density.Consider the below vectors corresponding to the limits and density−x
Read MoreProgram to find N-th term of series 0, 2,1, 3, 1, 5, 2, 7, 3...in C++
In this problem, we are given a number N. Our task is to create a Program to find N-th term of series 0, 2, 1, 3, 1, 5, 2, 7, 3...in C++.Problem Description − We are given the Series −0, 2, 1, 3, 1, 5, 2, 7, 3...N TermTo find the Nth term of this series, we will formula the general term of the series and then find the Nth term.Let’s take an example to understand the problem, Input − N = 7Output − 2Solution Approach :To solve the problem and find the general formula for the series. We need ...
Read MoreProgram to find N-th term of series 0, 9, 22, 39, 60, 85, 114, 147, ...in C++
In this problem, we are given a number N. Our task is to create a Program to find N-th term of series 0, 9, 22, 39, 60, 85, 114, 147, …in C++.Problem Description − We are given the Series −0, 9, 22, 39, 60, 85, 114, 147, ....NtermsTo find the Nth term of this series, we will formula the general term of the series and then find the Nth term.Let’s take an example to understand the problem, Input − N = 6Output − 85Solution Approach:To find the general term of the series. Let’s observe the growth of the values of ...
Read MoreProgram to find N-th term of series 1, 3, 12, 60, 360...in C++
In this problem, we are given a number N. Our task is to create a Program to find N-th term of series 1, 3, 12, 60, 360...in C++.Given Series1, 3, 12, 60, 360, 2520 … N TermsLet’s take an example to understand the problem, Input − N = 6Output − 2520Solution Approach:The general term formula for this one is a bit tricky. So, the increase in the series values is huge. So, there can be a few possibilities factorial or exponentials. So, we will first consider factorial, and on observing we can see the growth half as half of the ...
Read MoreProgram to find N-th term of series 0, 11, 28, 51, 79, 115, 156, 203, ...In C++
In this problem, we are given a number N. Our task is to create a program to find N-th term of series 0, 11, 28, 51, 79, 115, 156, 203, … In C++.Problem Description − To find the Nth terms of the series −0, 11, 28, 51, 79, 115, 156, 203, … N-th term.Let’s take an example to understand the problem,Input − N = 5Output − 79Solution Approach:The general formula for nth term of the series is −Tn = 3*(N*N) + 2*N - 5Program to illustrate the working of our solution,#include using namespace std; int findNTerm(int N) { int nthTerm = ( (3*N*N) + 2*N - 5); return nthTerm; } int main() { int N = 9; cout
Read MoreProgram to find N-th term of series 2, 12, 28, 50, 77, 112, 152, 198, ...in C++
In this problem, we are given a number N. Our task is to create a program to find N-th term of series 2, 12, 28, 50, 77, 112, 152, 198, …in C++.Problem Description − To find the N-th term of the series.2, 12, 28, 50, 77, 112, 152, 198, ...N termsWe will find a general for the series.Let’s take an example to understand the problem, Input − N = 6Output − 112Solution Approach:Here, the series is increasing in parabolic form, so the general term will be a quadratic equation.So, the general formula for the series isTN = 3*(N*N) + N ...
Read MoreProgram to find N-th term of series 1 4 15 24 45 60 92... in C++
In this problem, we are given a number N. Our task is to create a program to find N-th term of series 1 4 15 24 45 60 92... in C++.Problem description − To find the nth term of the series −1, 4, 15, 24, 45, 60, 92, 112 … N termsWe will find the general formula for the series.Let’s take an example to understand the problem, Input − N = 6Output − 60Solution Approach, The general term of the series is based on whether the value of N is even or odd. This type of series is a bit ...
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